Coefficient of kinetic friction of car collision

In summary, two cars collided and skidded 17m at an angle of 30 degrees north east before stopping. One car weighed 1180kg and the other weighed 1000kg. The coefficient of kinetic friction for a rubber tire sliding on pavement is 0.80. To determine the 1000kg car's speed before the collision, the conservation of momentum equation can be used, but more information is needed, such as the initial velocity of the 1180kg car.
  • #1
xshezsciencex
8
0
Two cars collide causing them to skid 17m at an angle of 30degrees north east before stopping. One car is 1180kg and the other is 1000kg. The coefficient of kinetic friction for a rubber tire slidin on pavement is 0.80

How would I determine the 1000kg cars' speed before the collision?

My attempt:
Conservation of Momentum
P(final)y
y= 30degrees

coefficient friction = Mv
f = Mmg (m is the mass)
 
Last edited:
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  • #2


xshezsciencex said:
Conservation of Momentum
P(final)y
y= 30degrees

First, the conservation of momentum says that P(initial)x=P(final)x and P(initial)y=P(final)y. However, there isn't enough information in this question for you to solve it. Are you sure you're not given the initial velocity of the 1180 kg car?
 
  • #3


To determine the 1000kg car's speed before the collision, we can use the equation for conservation of momentum, which states that the total momentum before a collision is equal to the total momentum after the collision. In this case, we know that the cars collide and skid to a stop, so the total momentum before the collision is equal to the final momentum of both cars after the collision.

To calculate the final momentum, we first need to find the final velocity of both cars after the collision. We can use the equation for kinetic friction to find the force of friction acting on the cars during the skid. This force will be equal to the product of the coefficient of kinetic friction (0.80) and the normal force, which is equal to the weight of the car (mass * acceleration due to gravity).

Next, we can use the equation for Newton's second law, F=ma, to find the acceleration of the cars during the skid. We know that the cars are skidding for a distance of 17m, so we can use the equation for uniform acceleration, d=0.5at^2, to find the time it takes for the cars to stop.

Once we have the time and acceleration, we can use the equation v=u+at to find the final velocity of the cars after the collision. Since we know the final velocity and the angle at which the cars are skidding (30 degrees), we can use trigonometry to find the horizontal component of the velocity, which is the velocity of the 1000kg car before the collision.

Therefore, the 1000kg car's speed before the collision can be determined by using the equations for conservation of momentum, kinetic friction, Newton's second law, and uniform acceleration, along with trigonometry to find the horizontal component of the final velocity.
 

Related to Coefficient of kinetic friction of car collision

What is the coefficient of kinetic friction of a car collision?

The coefficient of kinetic friction of a car collision is a measure of the amount of friction between two surfaces in motion. It is a unitless value that ranges from 0 to 1, with higher values indicating more resistance to motion. It is calculated by dividing the force of friction by the normal force between the two surfaces.

How is the coefficient of kinetic friction of a car collision determined?

The coefficient of kinetic friction of a car collision is typically determined through experiments or simulations. The two surfaces involved in the collision are measured, and the force of friction and normal force are measured during the collision. These values are then used to calculate the coefficient of kinetic friction.

What factors affect the coefficient of kinetic friction of a car collision?

The coefficient of kinetic friction of a car collision can be affected by a variety of factors, including the roughness of the surfaces, the speed of the collision, and the materials involved. Additionally, temperature and humidity can also impact the coefficient of kinetic friction.

Why is the coefficient of kinetic friction important in car collisions?

The coefficient of kinetic friction is important in car collisions because it helps determine the stopping distance of a car. A higher coefficient of kinetic friction means there will be more resistance to motion, resulting in a longer stopping distance. This information is crucial for understanding and preventing car accidents.

How can the coefficient of kinetic friction of a car collision be reduced?

The coefficient of kinetic friction of a car collision can be reduced by using materials with lower coefficients of friction, such as tires with good traction. Additionally, maintaining a safe speed and keeping roads clean and dry can also help reduce the coefficient of kinetic friction and improve overall safety during car collisions.

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